A spring of natural length ℓ₀ lies on a smooth table with one end fixed and the other attached to a particle of mass m. The particle is given speed v₀ perpendicular to the spring. The maximum extension is Δℓ = ℓ₀/10. Given m = 0.1 kg, ℓ₀ = 1 m and v₀ = 11 m/s.
Physics · Rotational Motion · angular momentum in pure rotation and its conservation
A spring of natural length ℓ₀ lies on a smooth table with one end fixed and the other attached to a particle of mass m. The particle is given speed v₀ perpendicular to the spring. The maximum extension is Δℓ = ℓ₀/10. Given m = 0.1 kg, ℓ₀ = 1 m and v₀ = 11 m/s.
Sub-question 1
In the course of motion, which of the quantities relating to spring block system are conserved?
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Sub-question 2
Which of the following is correct about initial situation and situation at maximum elongation?
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Sub-question 3
Student A: At maximum extension, mv′(ℓ₀ + Δℓ) = mv₀ℓ₀. Student B: At maximum extension, kΔℓ = mv′²/(ℓ₀ + Δℓ). Student C: ½mv₀² = ½mv′² + ½k(Δℓ)². Where v′ is the speed at maximum extension, which statement is correct?
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